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Question

Find the value of : cos-1 ( cos 2 /3 ) + sin-1 ( sin 2 /3 ) .

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Solution

As we know that cos-1cosx =x if x0,πsin-1sinx=x if x -π2,π2and here in the question the values of x are lying in the above mentioned region so, cos-1cos23 +sin-1sin23=23+23=43

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